DiamondTorre GPU Implementation Algorithm of the RKDG Solver for Fluid Dynamics and its Using for the Numerical Simulation of the Bubble-shock Interaction Problem

Abstract

Abstract In this paper the solver based upon the RKDG method for solving three-dimensional Euler equations of gas dynamics is considered. For the numerical scheme the GPU implementation algorithm called DiamondTorre is used, which helps to improve the performance speed of cal- culations. The problem of the interaction of a spherical bubble with a planar shock wave is considered in the three-dimensional setting. The obtained calculations are in agreement with the known results of experiments and numerical simulations. The calculation results are ob- tained with the use of the PC.